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Solving Equations Having the Variable on Both Sides

If a x+b y=3,...

Question

If ax + by = 3 , bx - ay = 4 and x^2 + y^2 , then the value of x^2 + y^2

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Solution

As the value of the x^2+y^2 is not given, we can not solve it. Please provide the complete data.

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Q. If ax+by=3, bx-ay=4 and

x^{2} + y^{2} = 1

then the value of

a^{2} + b^{2}

b x + a y = a^{2} + b^{2}

a x - b y = 0

, then the value of

(x - y)

a x + b y = a^{2} - b^{2}

b x + a y = 0,

find the value of

(x + y)

a, b, x, y

be real numbers such that

a^{2} + b^{2} = 81, x^{2} + y^{2} = 121

a x + b y = 99

,then find the set of all possible values of

a y - b x

Q. If the axes are rotated through an angle of

90^{\circ}

in any direction then the transformed equation of

x^{2} = 4 a y

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Solving Equations Having the Variable on Both Sides

Standard IX Mathematics

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